If you would like to authorize a transfer of money, here is a sample template you can use to write an authorization letter to transfer money.
Subject: Authorization to Transfer Money
This is to authorize the transfer of [Amount] from [Account Number] to [Account Number]. Please find attached the details of both the accounts. This transfer has my full consent. Therefore, I request you to do the needful for the transfer to happen within [Period]. I hope it can be completed without any trouble.
In case of any queries, please find me at [Contact Number]. In case my physical presence is required for this transfer, please communicate through the same. I will cooperate to the best of my abilities. Thank you for your cooperation.